package org.matheclipse.core.integrate.rubi45;


import static org.matheclipse.core.expression.F.*;
import static org.matheclipse.core.integrate.rubi45.UtilityFunctionCtors.*;
import static org.matheclipse.core.integrate.rubi45.UtilityFunctions.*;
import org.matheclipse.core.interfaces.IAST;

/** 
 * IndefiniteIntegrationRules from the <a href="http://www.apmaths.uwo.ca/~arich/">Rubi -
 * rule-based integrator</a>.
 *  
 */
public class IntRules74 { 
  public static IAST RULES = List( 
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Times(Power(b,-2),Int(Times(Power(Plus(a,Times(b,Sec(Plus(c,Times(d,x))))),Plus(m,C1)),Simp(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol),Times(b,CSymbol,Sec(Plus(c,Times(d,x))))),x)),x)),And(FreeQ(List(a,b,c,d,ASymbol,BSymbol,CSymbol,m),x),ZeroQ(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Times(Power(b,-2),Int(Times(Power(Plus(a,Times(b,Csc(Plus(c,Times(d,x))))),Plus(m,C1)),Simp(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol),Times(b,CSymbol,Csc(Plus(c,Times(d,x))))),x)),x)),And(FreeQ(List(a,b,c,d,ASymbol,BSymbol,CSymbol,m),x),ZeroQ(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(c_DEFAULT,Times(d_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Times(CSymbol,Power(b,-2),Int(Times(Power(Plus(a,Times(b,Sec(Plus(c,Times(d,x))))),Plus(m,C1)),Simp(Plus(Negate(a),Times(b,Sec(Plus(c,Times(d,x))))),x)),x)),And(FreeQ(List(a,b,c,d,ASymbol,CSymbol,m),x),ZeroQ(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(c_DEFAULT,Times(d_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(c_DEFAULT,Times(d_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Times(CSymbol,Power(b,-2),Int(Times(Power(Plus(a,Times(b,Csc(Plus(c,Times(d,x))))),Plus(m,C1)),Simp(Plus(Negate(a),Times(b,Csc(Plus(c,Times(d,x))))),x)),x)),And(FreeQ(List(a,b,c,d,ASymbol,CSymbol,m),x),ZeroQ(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Times(CN1,ASymbol,Tan(Plus(e,Times(f,x))),Power(Times(b,Sec(Plus(e,Times(f,x)))),m),Power(Times(f,m),-1)),And(FreeQ(List(b,e,f,ASymbol,CSymbol,m),x),ZeroQ(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Times(ASymbol,Cot(Plus(e,Times(f,x))),Power(Times(b,Csc(Plus(e,Times(f,x)))),m),Power(Times(f,m),-1)),And(FreeQ(List(b,e,f,ASymbol,CSymbol,m),x),ZeroQ(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,ASymbol,Tan(Plus(e,Times(f,x))),Power(Times(b,Sec(Plus(e,Times(f,x)))),m),Power(Times(f,m),-1)),Times(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))),Power(Times(Sqr(b),m),-1),Int(Power(Times(b,Sec(Plus(e,Times(f,x)))),Plus(m,C2)),x))),And(And(And(FreeQ(List(b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))))),RationalQ(m)),LessEqual(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(ASymbol,Cot(Plus(e,Times(f,x))),Power(Times(b,Csc(Plus(e,Times(f,x)))),m),Power(Times(f,m),-1)),Times(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))),Power(Times(Sqr(b),m),-1),Int(Power(Times(b,Csc(Plus(e,Times(f,x)))),Plus(m,C2)),x))),And(And(And(FreeQ(List(b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))))),RationalQ(m)),LessEqual(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CSymbol,Tan(Plus(e,Times(f,x))),Power(Times(b,Sec(Plus(e,Times(f,x)))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))),Power(Plus(m,C1),-1),Int(Power(Times(b,Sec(Plus(e,Times(f,x)))),m),x))),And(And(FreeQ(List(b,e,f,ASymbol,CSymbol,m),x),NonzeroQ(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))))),Not(And(RationalQ(m),LessEqual(m,CN1)))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Cot(Plus(e,Times(f,x))),Power(Times(b,Csc(Plus(e,Times(f,x)))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))),Power(Plus(m,C1),-1),Int(Power(Times(b,Csc(Plus(e,Times(f,x)))),m),x))),And(And(FreeQ(List(b,e,f,ASymbol,CSymbol,m),x),NonzeroQ(Plus(Times(CSymbol,m),Times(ASymbol,Plus(m,C1))))),Not(And(RationalQ(m),LessEqual(m,CN1)))))),
ISetDelayed(Int(Times(Plus(Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(BSymbol,Power(b,-1),Int(Power(Times(b,Sec(Plus(e,Times(f,x)))),Plus(m,C1)),x)),Times(CSymbol,Power(b,-2),Int(Power(Times(b,Sec(Plus(e,Times(f,x)))),Plus(m,C2)),x))),FreeQ(List(b,e,f,BSymbol,CSymbol,m),x))),
ISetDelayed(Int(Times(Plus(Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(BSymbol,Power(b,-1),Int(Power(Times(b,Csc(Plus(e,Times(f,x)))),Plus(m,C1)),x)),Times(CSymbol,Power(b,-2),Int(Power(Times(b,Csc(Plus(e,Times(f,x)))),Plus(m,C2)),x))),FreeQ(List(b,e,f,BSymbol,CSymbol,m),x))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(BSymbol,Power(b,-1),Int(Power(Times(b,Sec(Plus(e,Times(f,x)))),Plus(m,C1)),x)),Int(Times(Plus(ASymbol,Times(CSymbol,Sqr(Sec(Plus(e,Times(f,x)))))),Power(Times(b,Sec(Plus(e,Times(f,x)))),m)),x)),FreeQ(List(b,e,f,ASymbol,BSymbol,CSymbol,m),x))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(BSymbol,Power(b,-1),Int(Power(Times(b,Csc(Plus(e,Times(f,x)))),Plus(m,C1)),x)),Int(Times(Plus(ASymbol,Times(CSymbol,Sqr(Csc(Plus(e,Times(f,x)))))),Power(Times(b,Csc(Plus(e,Times(f,x)))),m)),x)),FreeQ(List(b,e,f,ASymbol,BSymbol,CSymbol,m),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),x_Symbol),
    Condition(Plus(Times(b,CSymbol,Sec(Plus(e,Times(f,x))),Tan(Plus(e,Times(f,x))),Power(Times(C2,f),-1)),Times(C1D2,Int(Simp(Plus(Times(C2,ASymbol,a),Times(Plus(Times(C2,BSymbol,a),Times(b,Plus(Times(C2,ASymbol),CSymbol))),Sec(Plus(e,Times(f,x)))),Times(C2,Plus(Times(a,CSymbol),Times(BSymbol,b)),Sqr(Sec(Plus(e,Times(f,x)))))),x),x))),FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),x_Symbol),
    Condition(Plus(Times(CN1,b,CSymbol,Csc(Plus(e,Times(f,x))),Cot(Plus(e,Times(f,x))),Power(Times(C2,f),-1)),Times(C1D2,Int(Simp(Plus(Times(C2,ASymbol,a),Times(Plus(Times(C2,BSymbol,a),Times(b,Plus(Times(C2,ASymbol),CSymbol))),Csc(Plus(e,Times(f,x)))),Times(C2,Plus(Times(a,CSymbol),Times(BSymbol,b)),Sqr(Csc(Plus(e,Times(f,x)))))),x),x))),FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),x_Symbol),
    Condition(Plus(Times(b,CSymbol,Sec(Plus(e,Times(f,x))),Tan(Plus(e,Times(f,x))),Power(Times(C2,f),-1)),Times(C1D2,Int(Simp(Plus(Times(C2,ASymbol,a),Times(b,Plus(Times(C2,ASymbol),CSymbol),Sec(Plus(e,Times(f,x)))),Times(C2,a,CSymbol,Sqr(Sec(Plus(e,Times(f,x)))))),x),x))),FreeQ(List(a,b,e,f,ASymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),x_Symbol),
    Condition(Plus(Times(CN1,b,CSymbol,Csc(Plus(e,Times(f,x))),Cot(Plus(e,Times(f,x))),Power(Times(C2,f),-1)),Times(C1D2,Int(Simp(Plus(Times(C2,ASymbol,a),Times(b,Plus(Times(C2,ASymbol),CSymbol),Csc(Plus(e,Times(f,x)))),Times(C2,a,CSymbol,Sqr(Csc(Plus(e,Times(f,x)))))),x),x))),FreeQ(List(a,b,e,f,ASymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(b,-1),Int(Sec(Plus(e,Times(f,x))),x)),Times(Power(b,-1),Int(Times(Plus(Times(ASymbol,b),Times(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)),Sec(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),-1)),x))),FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(b,-1),Int(Csc(Plus(e,Times(f,x))),x)),Times(Power(b,-1),Int(Times(Plus(Times(ASymbol,b),Times(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)),Csc(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),-1)),x))),FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(b,-1),Int(Sec(Plus(e,Times(f,x))),x)),Times(Power(b,-1),Int(Times(Plus(Times(ASymbol,b),Times(CN1,a,CSymbol,Sec(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),-1)),x))),FreeQ(List(a,b,e,f,ASymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(b,-1),Int(Csc(Plus(e,Times(f,x))),x)),Times(Power(b,-1),Int(Times(Plus(Times(ASymbol,b),Times(CN1,a,CSymbol,Csc(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),-1)),x))),FreeQ(List(a,b,e,f,ASymbol,CSymbol),x))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(a,ASymbol),Times(CN1,b,BSymbol),Times(a,CSymbol)),Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Power(Times(a,f,Plus(Times(C2,m),C1)),-1)),Times(Power(Times(a,b,Plus(Times(C2,m),C1)),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,b,Plus(Times(C2,m),C1)),Times(Plus(Times(b,BSymbol,Plus(m,C1)),Times(CN1,a,Plus(Times(ASymbol,Plus(m,C1)),Times(CN1,CSymbol,m)))),Sec(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),RationalQ(m)),Less(m,CN1D2)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(a,ASymbol),Times(CN1,b,BSymbol),Times(a,CSymbol)),Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Power(Times(a,f,Plus(Times(C2,m),C1)),-1)),Times(Power(Times(a,b,Plus(Times(C2,m),C1)),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,b,Plus(Times(C2,m),C1)),Times(Plus(Times(b,BSymbol,Plus(m,C1)),Times(CN1,a,Plus(Times(ASymbol,Plus(m,C1)),Times(CN1,CSymbol,m)))),Csc(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),RationalQ(m)),Less(m,CN1D2)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(a,Plus(ASymbol,CSymbol),Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Power(Times(a,f,Plus(Times(C2,m),C1)),-1)),Times(Power(Times(a,b,Plus(Times(C2,m),C1)),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,b,Plus(Times(C2,m),C1)),Times(CN1,a,Plus(Times(ASymbol,Plus(m,C1)),Times(CN1,CSymbol,m)),Sec(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),RationalQ(m)),Less(m,CN1D2)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(CN1,a,Plus(ASymbol,CSymbol),Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Power(Times(a,f,Plus(Times(C2,m),C1)),-1)),Times(Power(Times(a,b,Plus(Times(C2,m),C1)),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,b,Plus(Times(C2,m),C1)),Times(CN1,a,Plus(Times(ASymbol,Plus(m,C1)),Times(CN1,CSymbol,m)),Csc(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),RationalQ(m)),Less(m,CN1D2)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CSymbol,Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Times(b,Plus(m,C1)),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Simp(Plus(Times(ASymbol,b,Plus(m,C1)),Times(Plus(Times(a,CSymbol,m),Times(b,BSymbol,Plus(m,C1))),Sec(Plus(e,Times(f,x))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol,m),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(And(RationalQ(m),Less(m,CN1D2)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Times(b,Plus(m,C1)),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Simp(Plus(Times(ASymbol,b,Plus(m,C1)),Times(Plus(Times(a,CSymbol,m),Times(b,BSymbol,Plus(m,C1))),Csc(Plus(e,Times(f,x))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol,m),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(And(RationalQ(m),Less(m,CN1D2)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CSymbol,Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Times(b,Plus(m,C1)),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Simp(Plus(Times(ASymbol,b,Plus(m,C1)),Times(a,CSymbol,m,Sec(Plus(e,Times(f,x))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol,m),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(And(RationalQ(m),Less(m,CN1D2)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Times(b,Plus(m,C1)),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Simp(Plus(Times(ASymbol,b,Plus(m,C1)),Times(a,CSymbol,m,Csc(Plus(e,Times(f,x))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol,m),x),ZeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(And(RationalQ(m),Less(m,CN1D2)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CSymbol,Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Plus(m,C1),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Simp(Plus(Times(a,ASymbol,Plus(m,C1)),Times(Plus(Times(Plus(Times(ASymbol,b),Times(a,BSymbol)),Plus(m,C1)),Times(b,CSymbol,m)),Sec(Plus(e,Times(f,x)))),Times(Plus(Times(b,BSymbol,Plus(m,C1)),Times(a,CSymbol,m)),Sqr(Sec(Plus(e,Times(f,x)))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),PositiveIntegerQ(Times(C2,m))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Plus(m,C1),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Simp(Plus(Times(a,ASymbol,Plus(m,C1)),Times(Plus(Times(Plus(Times(ASymbol,b),Times(a,BSymbol)),Plus(m,C1)),Times(b,CSymbol,m)),Csc(Plus(e,Times(f,x)))),Times(Plus(Times(b,BSymbol,Plus(m,C1)),Times(a,CSymbol,m)),Sqr(Csc(Plus(e,Times(f,x)))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),PositiveIntegerQ(Times(C2,m))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CSymbol,Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Plus(m,C1),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Simp(Plus(Times(a,ASymbol,Plus(m,C1)),Times(Plus(Times(ASymbol,b,Plus(m,C1)),Times(b,CSymbol,m)),Sec(Plus(e,Times(f,x)))),Times(a,CSymbol,m,Sqr(Sec(Plus(e,Times(f,x)))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),PositiveIntegerQ(Times(C2,m))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Power(Times(f,Plus(m,C1)),-1)),Times(Power(Plus(m,C1),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Simp(Plus(Times(a,ASymbol,Plus(m,C1)),Times(Plus(Times(ASymbol,b,Plus(m,C1)),Times(b,CSymbol,m)),Csc(Plus(e,Times(f,x)))),Times(a,CSymbol,m,Sqr(Csc(Plus(e,Times(f,x)))))),x)),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),PositiveIntegerQ(Times(C2,m))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2)),x_Symbol),
    Condition(Plus(Int(Times(Plus(ASymbol,Times(Plus(BSymbol,Negate(CSymbol)),Sec(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),CN1D2)),x),Times(CSymbol,Int(Times(Sec(Plus(e,Times(f,x))),Plus(C1,Sec(Plus(e,Times(f,x)))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),CN1D2)),x))),And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2)),x_Symbol),
    Condition(Plus(Int(Times(Plus(ASymbol,Times(Plus(BSymbol,Negate(CSymbol)),Csc(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),CN1D2)),x),Times(CSymbol,Int(Times(Csc(Plus(e,Times(f,x))),Plus(C1,Csc(Plus(e,Times(f,x)))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),CN1D2)),x))),And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2)),x_Symbol),
    Condition(Plus(Int(Times(Plus(ASymbol,Times(CN1,CSymbol,Sec(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),CN1D2)),x),Times(CSymbol,Int(Times(Sec(Plus(e,Times(f,x))),Plus(C1,Sec(Plus(e,Times(f,x)))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),CN1D2)),x))),And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2)),x_Symbol),
    Condition(Plus(Int(Times(Plus(ASymbol,Times(CN1,CSymbol,Csc(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),CN1D2)),x),Times(CSymbol,Int(Times(Csc(Plus(e,Times(f,x))),Plus(C1,Csc(Plus(e,Times(f,x)))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),CN1D2)),x))),And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Times(a,f,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1)),Times(Power(Times(a,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,Plus(Sqr(a),Negate(Sqr(b))),Plus(m,C1)),Times(CN1,a,Plus(Times(ASymbol,b),Times(CN1,a,BSymbol),Times(b,CSymbol)),Plus(m,C1),Sec(Plus(e,Times(f,x)))),Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Plus(m,C2),Sqr(Sec(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),IntegerQ(Times(C2,m))),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Times(a,f,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1)),Times(Power(Times(a,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,Plus(Sqr(a),Negate(Sqr(b))),Plus(m,C1)),Times(CN1,a,Plus(Times(ASymbol,b),Times(CN1,a,BSymbol),Times(b,CSymbol)),Plus(m,C1),Csc(Plus(e,Times(f,x)))),Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Plus(m,C2),Sqr(Csc(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),RationalQ(m)),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Tan(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Times(a,f,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1)),Times(Power(Times(a,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,Plus(Sqr(a),Negate(Sqr(b))),Plus(m,C1)),Times(CN1,a,b,Plus(ASymbol,CSymbol),Plus(m,C1),Sec(Plus(e,Times(f,x)))),Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Plus(m,C2),Sqr(Sec(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),IntegerQ(Times(C2,m))),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Cot(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Times(a,f,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1)),Times(Power(Times(a,Plus(m,C1),Plus(Sqr(a),Negate(Sqr(b)))),-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1)),Simp(Plus(Times(ASymbol,Plus(Sqr(a),Negate(Sqr(b))),Plus(m,C1)),Times(CN1,a,b,Plus(ASymbol,CSymbol),Plus(m,C1),Csc(Plus(e,Times(f,x)))),Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Plus(m,C2),Sqr(Csc(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),IntegerQ(Times(C2,m))),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(Power(b,-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Plus(Times(ASymbol,b),Times(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)),Sec(Plus(e,Times(f,x)))))),x)),Times(CSymbol,Power(b,-1),Int(Times(Sec(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1))),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol,m),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(IntegerQ(Times(C2,m)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(Power(b,-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Plus(Times(ASymbol,b),Times(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)),Csc(Plus(e,Times(f,x)))))),x)),Times(CSymbol,Power(b,-1),Int(Times(Csc(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1))),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,BSymbol,CSymbol,m),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(IntegerQ(Times(C2,m)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§sec"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(Power(b,-1),Int(Times(Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),m),Plus(Times(ASymbol,b),Times(CN1,a,CSymbol,Sec(Plus(e,Times(f,x)))))),x)),Times(CSymbol,Power(b,-1),Int(Times(Sec(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Sec(Plus(e,Times(f,x))))),Plus(m,C1))),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol,m),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(IntegerQ(Times(C2,m)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§csc"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_)),x_Symbol),
    Condition(Plus(Times(Power(b,-1),Int(Times(Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),m),Plus(Times(ASymbol,b),Times(CN1,a,CSymbol,Csc(Plus(e,Times(f,x)))))),x)),Times(CSymbol,Power(b,-1),Int(Times(Csc(Plus(e,Times(f,x))),Power(Plus(a,Times(b,Csc(Plus(e,Times(f,x))))),Plus(m,C1))),x))),And(And(FreeQ(List(a,b,e,f,ASymbol,CSymbol,m),x),NonzeroQ(Plus(Sqr(a),Negate(Sqr(b))))),Not(IntegerQ(Times(C2,m))))))
  );
}
